2-Point Site Voronoi Diagrams

  • Gill Barequet
  • Matthew T. Dickerson
  • Robert L. ScotDrysdale
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1663)


In this paper we investigate a new type of Voronoi diagrams in which every region is defined by a pair of point sites and some distance function from a point to two points. We analyze the complexity of the respective nearest- and furthest-neighbor diagrams of several such distance functions, and show how to compute the diagrams efficiently.


Distance Function Voronoi Diagram Combinatorial Complexity Point Site Unordered Pair 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Gill Barequet
    • 1
  • Matthew T. Dickerson
    • 2
  • Robert L. ScotDrysdale
    • 3
  1. 1.Center for Geometric Computing, Dept. of Computer ScienceJohns Hopkins UniversityBaltimore
  2. 2.Dept. of Mathematics and Computer ScienceMiddlebury CollegeMiddlebury
  3. 3.Dept. of Computer ScienceDartmouth CollegeHanover

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